Solve 8div(5/4)^2+3/5

$$8 \div ( \frac { 5 } { 4 } ) ^ { 2 } + \frac { 3 } { 5 }$$

Evaluate

$$\frac{143}{25}=5.72$$

Solution Steps

Calculate \frac{5}{4} to the power of 2 and get \frac{25}{16}.

$$\frac{8}{\frac{25}{16}}+\frac{3}{5}$$

Divide 8 by \frac{25}{16} by multiplying 8 by the reciprocal of \frac{25}{16}.

$$8\times \frac{16}{25}+\frac{3}{5}$$

Express 8\times \frac{16}{25} as a single fraction.

$$\frac{8\times 16}{25}+\frac{3}{5}$$

Multiply 8 and 16 to get 128.

$$\frac{128}{25}+\frac{3}{5}$$

Least common multiple of 25 and 5 is 25. Convert \frac{128}{25} and \frac{3}{5} to fractions with denominator 25.

$$\frac{128}{25}+\frac{15}{25}$$

Since \frac{128}{25} and \frac{15}{25} have the same denominator, add them by adding their numerators.

$$\frac{128+15}{25}$$

Add 128 and 15 to get 143.

$$\frac{143}{25}$$

Factor

$$\frac{11 \cdot 13}{5 ^ {2}} = 5\frac{18}{25} = 5.72$$